10201000200210 has 128 divisors (see below), whose sum is σ = 27907543560960. Its totient is φ = 2650677032448.

The previous prime is 10201000200203. The next prime is 10201000200217. The reversal of 10201000200210 is 1200200010201.

It is an interprime number because it is at equal distance from previous prime (10201000200203) and next prime (10201000200217).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10201000200192 and 10201000200201.

It is not an unprimeable number, because it can be changed into a prime (10201000200217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481869 + ... + 4753728.

It is an arithmetic number, because the mean of its divisors is an integer number (218027684070).

Almost surely, 2^{10201000200210} is an apocalyptic number.

10201000200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201000200210 is an abundant number, since it is smaller than the sum of its proper divisors (17706543360750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201000200210 is a wasteful number, since it uses less digits than its factorization.

10201000200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235769 (or 6235763 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10201000200210 its reverse (1200200010201), we get a palindrome (11401200210411).

The spelling of 10201000200210 in words is "ten trillion, two hundred one billion, two hundred thousand, two hundred ten".